No. Rebrandly only tracks conversions from visitors who arrived via a Rebrandly branded link. Conversions from other traffic sources (direct visits, organic search, email, ads on other platforms, etc.) won't appear in your conversion tracking reports.
What you'll see: Only conversions attributed to clicks on your tracked Rebrandly links.
What you won't see: Conversions from visitors who didn't click a Rebrandly link to get to your site.
This is by design. Rebrandly's conversion tracking connects clicks to conversions, so it only measures the impact of your branded links. For a complete view of all conversions on your site, you'll need to use web analytics tools like Google Analytics alongside Rebrandly.